In Exercises 1718, first show that the set S = {p1, p2, p3} is a basis for P2, then

Chapter 4, Problem 17

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In Exercises 1718, first show that the set S = {p1, p2, p3} is a basis for P2, then express p as a linear combination of the vectors in S, and then find the coordinate vector of p relative to S.p1 = 1 + x + x2, p2 = x + x2, p3 = x2; p = 7 x + 2x2

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